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Finding the Fourth Proportional to 9,670.44, 14,484.60 and 5,973.60

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Solution

The fourth proportional to 9,670.44, 14,484.60 and 5,973.60 is: 8,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.44 : 14,484.60 = 5,973.60 : x
  2. Step 2: Convert to fraction form
    9,670.44/14,484.60 = 5,973.60/x
  3. Step 3: Cross multiply
    9,670.44x = 14,484.60 × 5,973.60
  4. Step 4: Simplify right side
    9,670.44x = 86,525,206.56
  5. Step 5: Solve for x
    x = 86,525,206.56/9,670.44
  6. Step 6: Final answer
    x = 8,947.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.